\(\lim\limits_{x\rightarrow+\infty}\dfrac{2x^4-5x^3+9}{x^4+2}=\lim\limits_{x\rightarrow+\infty}\dfrac{2-\dfrac{5}{x}+\dfrac{9}{x^4}}{1+\dfrac{2}{x^4}}=\dfrac{2-0+0}{1+0}=2\)
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